Find the roots of the following polynomial: p(x) = x² + 7x - 8 = 0

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Take the 1st equation & solve it :-

[tex]3x - 1 = 7 \\ 3x = 7 + 1 \\ 3x = 8[/tex]

Now, take the second equation :-

[tex]3x = 8[/tex]

[You can't further solve this equation]

So, from the 2 solved equations we can see that,

[tex]\large\bold{3x = 8 \ is \ equivalent \ (=) \ 3x = 8 }[/tex]

✐ The answer will be ⇻ Yes, 3x – 1= 7 and 3x = 8 are equivalent to each other.

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

y= -x+1/2

Step-by-step explanation:

Answer:

16(sin 30degrees) = BC

BC = 8

Answer:

the choice is equivalent to -25

Answer:

Pic1 answers:

P(blue) = 4/26,

P(yellow or green) = 14/26

P(purple) = 0.0%

P(red or green) = 18/26

P(not pink) = 26/26

P(not blue) = 22/26

Pic2 answers:

P(u) = 1/12

P(Vowel) = 6/12

P(a,b,c,d,e) = 4/12

P(Not A) = 10/12

P(vowel or consonant) = 12/12

P(not an m,s,t) = 9/12

(-4×-6) =-24÷6=4

24÷4=6. x=4. x=6

Answer:

8 88 cm

5.625 inches

Step-by-step explanation:

The length scale drawing of the given object :

5) A parking lot 460 meters wide;

1 centimeter = 16.5 meters.

1 cm on the drawing is equivalent to 16.5 m on ground

Hence, using cross multiplication :

If :

1 cm = 16.5 m

x = 460 m

Cross multiply :

16.5x = 460 * 1

x = 460 / 16.5

x = 8.88 cm

6) A desk 7.5 feet long; .

Scale = 1.5 inches = 0.5 feet

1.5 inches on map is equivalent to 0.5 feets on ground

1.5 inch = 0.5ft

x in = 7.5 feets

Using cross multiplication

0.5x = 1.5 * 7.5

0.5x = 11.25

x = 11.25 / 0.5

x = 5.625 inches

Answer:  2^2 x 3^2 x 5

You can use a star symbol * in place of the x symbols.

==================================================

Explanation:

We simply circle the primes where they have the largest exponent.

The unique primes listed here are: 2, 3, 5

Answer:

D

Step-by-step explanation:

Since there is a negative sign, the graph is a n shaped quadratic curve and hence, there can only be maximum point. Hence we can eliminate A and C.

For a curve in the completing the square form y = (x+a)²+b, the turning points are (-a,b). Hence in this case, turning point is at (-5, 3).

Hence the correct option is D

Answer:

D

Step-by-step explanation:

Answer: you can't really answer this because it's not telling me how many questions she answered so I don't know how many questions there are to decide how many points there are for each question but I'll give it a try.  

Step-by-step explanation:

41 - 8 = 33  that's all I got and also next time make sure you put the answer choices on that too if there are any

Answer:

The minimum unit cost is $9374.

Step-by-step explanation:

The unit cost C for making x engines is given by the quadratic function:

[tex]C(x)=0.3x^2-162x+31244[/tex]

We want to determine the minimum unit cost.

Since this is a quadratic function with a positive leading coefficient, the minimum value will be its vertex. The vertex of a quadratic can be found using the following formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = 0.3, b = -162, and c = 31244.

Find the x-coordinate of the vertex:

[tex]\displaystyle x=-\frac{(-162)}{2(0.3)}=\frac{162}{0.6}=270[/tex]

In other words, in order to achieve the minimum cost, only 270 engines must be made.

Then to find the minimum cost, substitute the value back into the function. So:

[tex]C(270)=0.3(270)^2-162(270)+31244=\$ 9374[/tex]

The minimum unit cost is $9374.

Answer:

A

sinse its side angle side so the angle beside the side is second

hope it helps

Step-by-step explanation:

The additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M

If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle.

According to the given question.

We have two triangle NDA and MTO in which

m ∠NDA = m ∠MTO

and  NA = MT

Now, according to ASA congruency rule

NA = MT

if m ∠DNA = m ∠TMO

Therefore, the additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M.

Thus, option A is correct.

Find out more information about ASA congruency rule here:

https://brainly.com/question/2848632

#SPJ3

Answer:

Becky's age is equal to 20.

Step-by-step explanation:

The given expression is :

(7+11)-(8÷2)

Using Bodmas rule to solve it furthur,

(18)-4 = 14

According to the given condition, let the age is A.

The value is 6 less than her age,

14 = A-6

or

14+6 = A

A = 20

Hence, Becky's age is equal to 20.

Answer: It will have a minimum.

Answer:

(9,3)

Step-by-step explanation:

Hope this helps

Answer:

c

Step-by-step explanation:

Answer:

A. 42 [tex]u^{2}[/tex]

Step-by-step explanation:

The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.

Finding the area:

length × width

= 7 × 6

= 42 [tex]u^{2}[/tex]

Explanation:

x = smaller number

8x = larger number, since it's 8 times larger than the smaller

8x-x = 7x = difference of the numbers

That difference is 21, so we can say 7x = 21 which solves to x = 3

The smaller number is 3 and the larger is 8x = 8*3 = 24

As a check: 24-3 = 21, which confirms the answer.

Answer:

This is incorrect as 1/8 plus 3/5 is 29/40

Step-by-step explanation:

:)

Answer:

Susan is incorrect.

Step-by-step explanation:

First, what we do is add 1/8 + 3/5

Our result will be 4/13 because 1+3 = 4 would be as the numerator, and 8+5 = 13 would be as the denominator.

We can't simplify 4/13.

If we did increase the number, however, it would be 8/26, which is not close to the answer.

Therefore, Susan is incorrect.

-kiniwih426

Answer:

1/4x = 15/16

Step-by-step explanation:

1/4x = 15/16

Answer:

easy bro go and use m-a-t-h w-a-y

Step-by-step explanation:

it's going to help

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Answer:

See below.

Step-by-step explanation:

D(t) = 3260 - 55t

The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.

part a:

D(12) = 3260  55(12)

D(12) = 3260 - 660

D(12) = 2600

Interpretation: After 12 hours of driving home, they are 2600 miles from home.

part b:

D(t) = 2490

3260 - 55t = 2490

-55t = -770

t = 14

Interpretation: When they are 2490 miles from home, they have driven for 14 hours.

Answer:

in the survey, 16 out of 80 students who where asked favored chicken nuggets.

so we need to calculate like this:

530 * 16/80

=530 * 1/5

=530/5

=106

hope this helps your understanding, wish you good grades

Answer:

2,3

Step-by-step explanation:

Answer:

4:5

Step-by-step explanation:

32:40

=>32/40

=>diving numerator and denominator by 8

=>4/5

=>4:5

Answer: 4:5

Step-by-step explanation:

32 and 40 share a common factor of 8. We can divide both of them by 8 so that the ratio stays the same value and it'll be in it's simplest form.

[tex]\frac{32}{8} =4\\\frac{40}{8} =5[/tex]

4:5 is the final answer.

Answer:

I think I know what question you are trying to write because it sounds like the question I did years ago.

It is Rs 200

Step-by-step explanation:

Your welcome! :)

Answer:

Marty's with a slope of 1/3

Step-by-step explanation:

The functions Marty and Ethan wrote are analyzed the find the slope of each of the function

The equation Marty wrote is presented here as follows;

[tex]y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right)[/tex]

Marty's equation can be written in slope and intercept form, y = m·x + c, as follows;

[tex]y = \dfrac{1}{3} \cdot\left (x + 9 \right) - 3[/tex]

[tex]y = \dfrac{1}{3} \cdot x + \dfrac{9}{3} \right) - 3 = \dfrac{1}{3} \cdot x + 0[/tex]

[tex]y = \dfrac{1}{3} \cdot x[/tex]

By comparison, the slope of the function, m = 1/3

[tex]\therefore \ the \ slope \ of \ Marty's \ function, \ y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right), \ m =\dfrac{1}{3}[/tex]

Marty's function has a slope of m = 1/3

Ethan has the following two column table;

[tex]\begin{array}{rl}x&y\\-4&9.2\\-2&9.6\\0&10\\2&10.4\end{array}[/tex]

The slope, m, of the data in the above table is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Taking any two points, (x₁, y₁) = (-4, 9.2), and (x₂, y₂) = (2, 10.4), we get;

[tex]Slope, \, m =\dfrac{10.4-9.2}{2-(-4)} = \dfrac{1.2}{6} = \dfrac{1}{5}[/tex]

Ethan's function has a slope of m = 1/5

Therefore;

Marty's slope of 1/3 is larger, given that 1/3 > 1/5.

Answer:

C. Marty’s with a slope of 1/3

Step-by-step explanation:

Did the test and got it correct